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Transient Chaos, Synchronization and Digital Image Enhancement Technique Based on a Novel 5D Fractional-Order Hyperchaotic Memristive System

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Abstract

Nowadays, the construction of a fractional-order hyperchaotic memristive system (FOHMS) and its real-world applications are fascinating and have received keen attention. A new 5D fractional-order hyperchaotic memristive system that uses a flux-controlled memristor with quadratic nonlinearity is introduced in this paper. The multiple line equilibrium, chaos, hyperchaos, coexisting attractors, periods and limit cycles are the fascinating aspects of this hyperchaotic system. The complex characteristic dynamics such as symmetricity, dissipativity, Lyapunov dynamics, equilibrium point stability and bifurcation diagram of the proposed hyperchaotic system are illustrated in both theoretical and graphical manners. For a particular set of parameter values, curious metastability, which shows transient transfer behaviour, has been discovered. Moreover, complete dislocated general hybrid projective synchronization and a new enhanced digital image algorithm have been introduced based on the 5D FOHMS. The effectiveness of the proposed algorithm has been visualized for various fractional derivatives, which shows the importance of the presented scheme in the digital world.

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Data Availability

The datasets analysed during the current study are available from the corresponding author on reasonable request.

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Acknowledgements

Nasreen (19/06/2016(i)EU-V) thanks to UGC, India, for providing financial support as S.R.F.

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  1. Department of Mathematics, Jamia Millia Islamia, New Delhi, India

    Nasreen Khan

  2. Department of Mathematics, Gobi Arts & Science College, Gobichettipalayam, Tamil Nadu, India

    P. Muthukumar

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Khan, N., Muthukumar, P. Transient Chaos, Synchronization and Digital Image Enhancement Technique Based on a Novel 5D Fractional-Order Hyperchaotic Memristive System. Circuits Syst Signal Process 41, 2266–2289 (2022). https://doi.org/10.1007/s00034-021-01892-6

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